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We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino…

High Energy Physics - Phenomenology · Physics 2011-08-02 Nan Qin , Bo-Qiang Ma

The quark-lepton complementarity (QLC) is very suggestive in understanding possible relations between quark and lepton mixing matrices. We explore the QLC relations in all the possible angle-phase parametrizations and point out that they…

High Energy Physics - Phenomenology · Physics 2010-05-12 Ya-juan Zheng

Comparison of properties of quark and leptons as well as understanding their similarities and differences is one of the milestones on the way to underlying physics. Several observations, if not accidental, can strongly affect the…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Yu. Smirnov

In the absence of a Grand Unified Theory framework, connecting the values of the mixing parameters in the quark and lepton sector is a difficult task, unless one introduces ad-hoc relations among the matrices that diagonalize such different…

High Energy Physics - Phenomenology · Physics 2024-07-03 Alessio Giarnetti , Simone Marciano , Davide Meloni

We parametrize lepton mixing matrix, known as PMNS matrix, in terms of three parameters which account deviations of three mixing angles from their bi-maximal or tri-bimaximal values. On the basis of this parametrization we can determine…

High Energy Physics - Phenomenology · Physics 2015-03-27 Chandan Duarah , K. Sashikanta Singh , N. Nimai Singh

We obtain a relationship between the hierarchies of mixing angles and of masses pertinent to the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix and the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) lepton mixing matrix. Using this…

High Energy Physics - Phenomenology · Physics 2020-04-29 Paul H. Frampton , Jihn E. Kim

Inspired by a new relation $\theta_{13}^{\rm PMNS}={\theta_C}/{\sqrt{2}}$ observed from the relatively large $\theta_{13}^{\rm PMNS}$, we find that the combination of this relation with the quark-lepton complementarity and the…

High Energy Physics - Phenomenology · Physics 2012-11-20 Xinyi Zhang , Bo-Qiang Ma

We present a unified parametrization of quark and lepton mixing matrices. By using some simple relations between the mixing angles of quarks and leptons, i.e., the quark-lepton complementarity, we parametrize the lepton mixing matrix with…

High Energy Physics - Phenomenology · Physics 2011-04-12 Nan Li , Bo-Qiang Ma

We suggest a simple relation between the quark and the lepton mixing within the framework of type-I seesaw mechanism. We show that within our ansatz the empirical King-Mohapatra-Smirnov relation, which suggests a connection between the CKM…

High Energy Physics - Phenomenology · Physics 2023-04-17 Francisco Albergaria , G. C. Branco , José Filipe Bastos , J. I. Silva-Marcos

After the successful investigation and confirmation of non zero $\theta_{13}^{PMNS}$ by various experiments, we are standing at a square where we still encounter a number of issues, which are to be settled. In this paper, we have extended…

High Energy Physics - Phenomenology · Physics 2018-06-27 Gazal Sharma , Shankita Bhardwaj , B. C. Chauhan , Surender Verma

The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle $\theta_{13}^{PMNS}$. We obtain this prediction by first showing that the matrix $V_M$, product of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bhag C. Chauhan , Marco Picariello , Joao Pulido , Emilio Torrente-Lujan

Against the conventional picture that the mass matrix forms in the quark sectors will take somewhat different structures from those in the lepton sectors, a possibility that all the mass matrices of quarks and leptons have the same form as…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yoshio Koide , Hiroyuki Nishiura , Koichi Matsuda , Tatsuru Kikuchi , Takeshi Fukuyama

A unified description of fermionic mixing is proposed which assumes that in certain basis ($i$) a single complex unitary matrix $V$ diagonalizes mass matrices of all fermions to the leading order, ($ii$) the SU(5) relation $M_d=M_l^T$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Anjan S. Joshipura , A. Yu. Smirnov

We study the complementarity between quark and lepton mixing angles (QLC), the sum of an angle in quark mixing and the corresponding angle in lepton mixing is $\pi/4$. Experimentally in the standard PDG parametrization, two such relations…

High Energy Physics - Phenomenology · Physics 2015-06-03 Guan-Nan Li , Hsiu-Hsien Lin , Xiao-Gang He

Recent measurements of the neutrino solar mixing angle and the Cabibbo angle satisfy the empirical relation theta_{sol} + theta_{C} ~ 45^{o}. This relation suggests the existence of a correlation between the mixing matrices of leptons and…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Gonzalez-Canales , A. Mondragon

The measurements of the neutrino and quark mixing angles satisfy the empirical relations called Quark-Lepton Complementarity. These empirical relations suggest the existence of a correlation between the mixing matrices of leptons and…

High Energy Physics - Phenomenology · Physics 2010-10-27 J. Barranco , F. Gonzalez Canales , A. Mondragon

We argue that there exists simple relation between the quark and lepton mixings which supports the idea of grand unification and probes the underlying robust bi-maximal fermion mixing structure of still unknown flavor physics. In this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martti Raidal

We propose a mass matrix model that gives a unified description of quark and lepton with the same texture form based on a flavor 2 <-> 3 symmetry. The model is in contrast with the conventional picture that the mass matrix forms in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Koichi Matsuda , Hiroyuki Nishiura

The quark mixing (CKM) matrix is near-diagonal, whereas the lepton mixing (PMNS) matrix is not. We learn that both observations can generically be explained within an ultraviolet completion of the Standard Model with gravity. We find that…

High Energy Physics - Phenomenology · Physics 2025-07-25 Astrid Eichhorn , Zois Gyftopoulos , Aaron Held

The recently observed lepton mixing angle $\theta_{13}$ of the MNS mixing matrix is well incorporated in a universal mixing hypothesis between quark and lepton sectors. This hypothesis asserts that, in the charged lepton diagonal base, all…

High Energy Physics - Phenomenology · Physics 2013-11-26 Takeshi Fukuyama , Hiroyuki Nishiura
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